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Physics-informed Graph Neural Networks have achieved remarkable performance in learning through graph-structured data by mitigating common GNN challenges such as over-smoothing, over-squashing, and heterophily adaption. Despite these…

Machine Learning · Computer Science 2024-06-13 Dai Shi , Andi Han , Lequan Lin , Yi Guo , Zhiyong Wang , Junbin Gao

Graph Neural Networks (GNNs) have become popular across a diverse set of tasks in exploring structural relationships between entities. However, due to the highly connected structure of the datasets, distributed training of GNNs on…

Machine Learning · Computer Science 2025-09-08 Arefin Niam , Tevfik Kosar , M S Q Zulkar Nine

Graph neural networks (GNNs) manifest pathologies including over-smoothing and limited discriminating power as a result of suboptimally expressive aggregating mechanisms. We herein present a unifying framework for stochastic aggregation…

Machine Learning · Statistics 2021-03-01 Yuanqing Wang , Theofanis Karaletsos

Graph Neural Networks (GNNs) face two fundamental challenges when scaled to deep architectures: oversmoothing, where node representations converge to indistinguishable vectors, and oversquashing, where information from distant nodes fails…

Machine Learning · Computer Science 2026-03-30 Mostafa Haghir Chehreghani

Graph-based Neural Networks (GNNs) are recent models created for learning representations of nodes (and graphs), which have achieved promising results when detecting patterns that occur in large-scale data relating different entities. Among…

Machine Learning · Computer Science 2021-08-20 Ronald D. R. Pereira , Fabrício Murai

Graph neural networks (GNNs) have shown state-of-the-art performances in various applications. However, GNNs often struggle to capture long-range dependencies in graphs due to oversmoothing. In this paper, we generalize the concept of…

Machine Learning · Computer Science 2023-11-01 Sohir Maskey , Raffaele Paolino , Aras Bacho , Gitta Kutyniok

Graph convolutional networks (GCNs) have achieved remarkable learning ability for dealing with various graph structural data recently. In general, deep GCNs do not work well since graph convolution in conventional GCNs is a special form of…

Machine Learning · Computer Science 2021-12-08 Zhilong Xiong , Jia Cai

Graph neural networks (GNNs) are able to leverage the structure of graph data by passing messages along the edges of the graph. While this allows GNNs to learn features depending on the graph structure, for certain graph topologies it leads…

Machine Learning · Computer Science 2023-02-17 Kedar Karhadkar , Pradeep Kr. Banerjee , Guido Montúfar

Graph Neural Networks (GNNs) have achieved great success in various graph mining tasks.However, drastic performance degradation is always observed when a GNN is stacked with many layers. As a result, most GNNs only have shallow…

Machine Learning · Computer Science 2022-06-10 Wentao Zhang , Zeang Sheng , Ziqi Yin , Yuezihan Jiang , Yikuan Xia , Jun Gao , Zhi Yang , Bin Cui

Graph Neural Networks (GNNs) have been emerging as a promising method for relational representation including recommender systems. However, various challenging issues of social graphs hinder the practical usage of GNNs for social…

Social and Information Networks · Computer Science 2019-08-08 Kyung-Min Kim , Donghyun Kwak , Hanock Kwak , Young-Jin Park , Sangkwon Sim , Jae-Han Cho , Minkyu Kim , Jihun Kwon , Nako Sung , Jung-Woo Ha

Deep Graph Neural Networks struggle with oversmoothing. This paper introduces a novel, physics-inspired GNN model designed to mitigate this issue. Our approach integrates with existing GNN architectures, introducing an entropy-aware message…

Machine Learning · Computer Science 2024-03-08 Philipp Nazari , Oliver Lemke , Davide Guidobene , Artiom Gesp

In recent years, Graph Convolutional Networks (GCNs) have gained popularity for their exceptional ability to process graph-structured data. Existing GCN-based approaches typically employ a shallow model architecture due to the…

Machine Learning · Computer Science 2025-04-22 Jielong Lu , Zhihao Wu , Zhiling Cai , Yueyang Pi , Shiping Wang

Increasing the depth of GCN, which is expected to permit more expressivity, is shown to incur performance detriment especially on node classification. The main cause of this lies in over-smoothing. The over-smoothing issue drives the output…

Machine Learning · Computer Science 2022-07-12 Wenbing Huang , Yu Rong , Tingyang Xu , Fuchun Sun , Junzhou Huang

Graph Convolutional Networks (GCNs) are known to suffer from performance degradation as the number of layers increases, which is usually attributed to over-smoothing. Despite the apparent consensus, we observe that there exists a…

Machine Learning · Computer Science 2021-10-29 Weilin Cong , Morteza Ramezani , Mehrdad Mahdavi

Graph Neural Network (GNN) is an emerging technique for graph-based learning tasks such as node classification. In this work, we reveal the vulnerability of GNN to the imbalance of node labels. Traditional solutions for imbalanced…

Machine Learning · Computer Science 2022-02-08 Xiaohe Li , Lijie Wen , Yawen Deng , Fuli Feng , Xuming Hu , Lei Wang , Zide Fan

Oversmoothing is a fundamental challenge in graph neural networks (GNNs): as the number of layers increases, node embeddings become increasingly similar, and model performance drops sharply. Traditionally, oversmoothing has been quantified…

Machine Learning · Computer Science 2026-02-24 Kaicheng Zhang , Piero Deidda , Desmond Higham , Francesco Tudisco

The popularity of deep learning techniques renewed the interest in neural architectures able to process complex structures that can be represented using graphs, inspired by Graph Neural Networks (GNNs). We focus our attention on the…

Machine Learning · Computer Science 2021-09-02 Matteo Tiezzi , Giuseppe Marra , Stefano Melacci , Marco Maggini

Graph Neural Networks (GNNs) are powerful tools for learning from graph-structured data, but their scalability is increasingly strained by the size of real-world graphs in domains like recommender systems, fraud detection, and molecular…

Machine Learning · Computer Science 2026-05-22 Mridul Gupta , Samyak Jain , Vansh Ramani , Hariprasad Kodamana , Sayan Ranu

Graph neural networks (GNNs) have shown remarkable success in learning representations for graph-structured data. However, GNNs still face challenges in modeling complex phenomena that involve feature transportation. In this paper, we…

Machine Learning · Computer Science 2023-12-21 Moshe Eliasof , Eldad Haber , Eran Treister

In this work, we propose to train a graph neural network via resampling from a graphon estimate obtained from the underlying network data. More specifically, the graphon or the link probability matrix of the underlying network is first…

Machine Learning · Computer Science 2021-09-07 Ziqing Hu , Yihao Fang , Lizhen Lin
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